2120011001001 has 14 divisors (see below), whose sum is σ = 3178562448410. Its totient is φ = 1413340666848.

The previous prime is 2120011000993. The next prime is 2120011001029. The reversal of 2120011001001 is 1001001100212.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1498947219225 + 621063781776 = 1224315^2 + 788076^2 .

It is not a de Polignac number, because 2120011001001 - 2³ = 2120011000993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120011001071) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1454053456 + ... + 1454054913.

Almost surely, 2^{2120011001001} is an apocalyptic number.

It is an amenable number.

2120011001001 is a deficient number, since it is larger than the sum of its proper divisors (1058551447409).

2120011001001 is an frugal number, since it uses more digits than its factorization.

2120011001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908108387 (or 2908108372 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2120011001001 its reverse (1001001100212), we get a palindrome (3121012101213).

The spelling of 2120011001001 in words is "two trillion, one hundred twenty billion, eleven million, one thousand, one".